255890664000 has 1568 divisors, whose sum is σ = 1052409477600. Its totient is φ = 61312204800.

The previous prime is 255890663999. The next prime is 255890664023. The reversal of 255890664000 is 466098552.

255890664000 is a `hidden beast` number, since 2 + 5 + 589 + 0 + 6 + 64 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 182171897856 + 73718766144 = 426816^2 + 271512^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2875175956 + ... + 2875176044.

Almost surely, 2^255890664000 is an apocalyptic number.

255890664000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255890664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526204738800).

255890664000 is an abundant number, since it is smaller than the sum of its proper divisors (796518813600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

255890664000 is an equidigital number, since it uses as much as digits as its factorization.

255890664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 255890664000 in words is "two hundred fifty-five billion, eight hundred ninety million, six hundred sixty-four thousand".